June 13 (Reuters) - U.S. stocks were little changed on Monday as a recovery in oil prices limited earlier losses, a day before the Federal Reserve commences its policy meeting.

Oil heavyweights Exxon and Chevron rose about 1 percent after oil prices snapped a two-day losing streak. Exxon gave the biggest boost to the S&P 500.

Seven of the 10 major S&P sectors were higher with the energy index’s 0.85 percent gain leading the advancers.

However, Microsoft’s 2.6 percent fall weighed on the three major indexes after the software company agreed to buy LinkedIn for $26.2 billion. LinkedIn jumped 47 percent to $193.13.

“Today seems to be a very volatile day.... The market is always looking for any message the Fed may have in terms of what they do in July or what the statement may be for the meeting,” said Omar Aguilar, chief investment officer at Charles Schwab Investment Management.

The U.S. Federal Reserve Open Market Committee (FOMC) will meet on Tuesday and Wednesday to decide when to raise interest rates for the second time in nearly a decade.

Fed Chair Janet Yellen, who had been dropping hints of a rate hike most of last month, was more vague last week on its timing after dismal May hiring data and a possible Brexit raised concerns about the strength of the economy.

Traders have reduced the odds of a hike this month to 1 percent and the one in July to 33 percent, according to CME Group’s FedWatch tool.

At 10:56 a.m. ET (1456 GMT), the Dow Jones Industrial Average was up 20.2 points, or 0.11 percent, at 17,885.54.

The S&P 500 was down 0.53 points, or 0.03 percent, at 2,095.54.

The Nasdaq Composite was down 10.22 points, or 0.21 percent, at 4,884.33.

The Brexit vote provides a lot of volatility, especially in the currency markets, and will continue to do so for the next two weeks, Aguilar said.

Britain will vote on June 23 to determine if it would remain in the European Union.

Safe-haven assets soared on the uncertainty.

Gold prices hit their highest since mid-May and the yen surged to a three-year high.

An attack in Orlando, Florida, where a gunman killed over 50 people at a nightclub added to the dour mood. Shares of gun makers Smith & Wesson and Sturm Ruger rose about 9 percent.

Facebook was down 1.4 percent at $114.99 after CNBC said Citron Research was short on the stock.

Declining issues outnumbered advancing ones on the NYSE by 1,581 to 1,325. On the Nasdaq, 1,592 issues fell and 1,047 advanced.

The S&P 500 index showed 24 new 52-week highs and one new low, while the Nasdaq recorded 29 new highs and 37 new lows. (Reporting by Yashaswini Swamynathan in Bengaluru; Editing by Don Sebastian)